4. Given AM CM and BM DMProve ABCD is a parallelogram.A(Prove each opposite sides are congruent SAS)BM.

Name: 4. Given AM CM and BM DMProve ABCD is a parallelogram.A(Prove each op
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: 4. Given AM CM and BM DMProve ABCD is a parallelogram.A(Prove each opposite sides are congruent SAS)BM.

Answered: Image /qna-images/answer/2c013aca-d3ef-45af-a1b4-50c29d7dd75a.jpg

Answered: 4. Given AM CM and BM DM Prove ABCD is…

Math

Geometry

4. Given AM CM and BM DM Prove ABCD is a parallelogram. A B (Prove each opposite sides are congruent SAS)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.1: Area And Initial Postulates

Problem 33E

See similar textbooks

Related questions

Q: If ABCD is a cyclic quadrilateral and AB and DC are produced to meet at Q, and Bo and AD are…

Q: 4. ABCD is a rectangle. If the diagonals intersect at N and ZANB %3D 104°, find ZBDA and ZBAC.

A: Solving the problem by finding the values of the given angles. NOTE :: As per our Expert…

Q: 3. Show that if A = 3a, + 2ay – az, B = 4ax – 8a, – 4a, and C = 7ax – 6ay – 5a,, then A, B and C…

Q: Given: m<ABD3Dm<CBD. To prove that the triangles are congruent by SAS, what other information is…

A: We will find which option is required to prove the congruency as following.

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. sement Iheason Prove: AADE…

A: Given a parallelogram ABCD with diagonals AC and BD intersecting at E.

Q: Choose the correct answer below. A. AABC - AHKG by the SSS~ Theorem. O B. AABC ~ AHKG by the AA -…

Q: Which postulate would prove the two triangle congruent? D T E AAS SAS ASA SSS

A: Solve by triangle similarity

Q: 11. ABCD is a quadrilateral such that if sides AB and CD are extended they will meet at a right…

A: Solution: Consider the given quadrilateral ABCD and assuming line AB and CD extended and create a…

Q: 11. The drawing below shows the dimensions of Kim's kite. 30 cm2 12 cm 48 cm2 2 cm 96 cm2 12 cm If…

Q: A A 5. 6. AA AA 7. 8. 9. For each of the diagrams above, select which shortcut could be used to…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: B Apply 25. Open-Ended Sketch two noncongruent kites such that the diagonals of one are congruent to…

A: This is a problem related to geometry part. Based on the concept we will draw the noncongruent kites…

Q: Based on the information given in the diagram, can you prove ABCD is a parallelogram C A O Yes, one…

Q: It is given that AC = BD. After proving that △BAD≅△ABC△BAD≅△ABC and △ADC≅△BCD△ADC≅△BCD, a teacher…

A: Given step by step clear explanation

Q: If a parallelogram is a rectangle, then its diagonals are a) perpendicular. b) congruent. c) none of…

A: diagonals are ?

Q: GIVEN: ARST [Figure 5.24(a)] with sides a, b, and c so that c2 = a² + b? PROVE: ARST is a right…

A: We have given triangle RST It is given that c2=a2+b2

Q: What additional information do you need to know in order to use SAS to prove the triangles…

Q: 33) In quadrilateral RSTU, Es I ST and ŪT I diasgned If RS =6,ST = 8, and 12U = 15, find UT %3D

A: We can easily solve this problem by using Pythagoras Theorem in both the triangles (one by one).

Q: 7. Let ABCD be a cyclic quadrilateral such that sides AB and DC are perpendicular as shown. Let a,…

A: Given: A cyclic quadrilateral, ABCD such that sides AB and DC are perpendicular as shown in the…

Q: Which postulate would prove the triangles congruent? R V U SS AAS ASA SAS

A: Correct Answer: (D) SAS Postulate

Q: The figure shows quadrilateral RSUV with RV || SU and congruent segments as marked. R

A: To Prove: The side RU bisect SV. Concept used: ASA congruency: If two angles and the included side…

Q: What part is needed to prove the triangles are congrent by SAS? Given: AB CB and DA DC Prove: AABD=A…

A: Given: AB≅CB DA≅DC To prove: △ABD≅△CBD The part from the given option to prove the triangles…

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. sement Prove: AADE ACBE…

A: Given: As per the instruction, we will be proving ∆ADE≅∆CBE. We have that the parallelogram ABCD…

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE sebment…

Q: 2. Given: ABCD is a parallelogram, DE I AF, and CF 1 AF Prove: DE = CF D C Statement Reason A E

Q: 1. Given: Quadrilateral POST is an isosceles trapezoid with OS || PT. ER is its median. a. If OS =…

A: Draw the diagram and use the property of isosceles trapezoid.

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD, and diagonals AC and BD intersecting at P.…

Q: 4. If AB = AD = y +5, BC = y, and CD =+ 3, find the perimeter of ABCD. %3D

A: 4. The figure with AB = AD = y+5, BC = y and CD = y2+3 is given by To evaluate : The perimeter of…

Q: In the given figure, PQRS is a parallelogram, whose diagonals PR and SQ intersect at O. If OR = 7.5…

A: it is given that 'OR' =7.5 cm

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE sebment…

Q: If the lengths of the diagonals of a parallelogram are congruent, then you can prove ir is O square…

Q: 11. The drawing below shows the dimensions of Kim's kite. 30 cm2 12 cm 48 cm2 2 cm 96 cm2 12 cm If…

Q: Which two triangles are congruent by the SAS Theorem? Complete the congruence statement. H. W E

Q: Given: ABCD is a parallelogram and AABC S ADCB. Prove: AB 1 BC.

A: ABCD is a parallelogram in which the triangles ABC and DCB are congruent. We need to prove that the…

Q: A student draws AXY Z and AEFG so that mX = m/E = 29.5", XY = EF = 47 mm, and XZ = EG = 63 mm. Which…

A: We have, Side(XY)= side(EF) Angle(x)= Angle(E) Side(XZ)=side(EG)

Q: 7. Find the area of the quadrilateral if AB = 3, BD = 12, AC = 4, CD = 13, and AB is %3D…

A: Join BC

Q: In ARAE and ATAE, ZRAE is adjacent to 2TAE. RA AT and RE ET. Prove that the two triangles are…

A: We will use the criteria for congruence of triangles.

Q: Given: ABDF is a parallelogram, <1 = 42 Prove: AG-CD=ED-DF 2 E

Q: 7. Given that ST bisects zS, which must you use to determine that the triangles below are congruent?…

A: SAS

Q: Which statement would not prove that ABDC is a parallelogram?

A: Properties of parallelogram is as below : Two opposite are parallel and congruent. Opposite angles…

Q: 8. Determine the following for Parallelogram ABCD if MZBCD =118°, DC - 26 cm, BC 30 cm, AD x+2, AB…

A: We have to find the term

Q: 15 - Quadrilateral ABCD is a rectangle: If AC = %3D 5 and AD = 3, find %3D DC M O DC = 3 O DC = 2 DC…

A: ABCD is a rectangle. AC=5 AD=3 We need to find DC

Q: 4. Given: ABCD is a quadrilateral, BD bisects AC at X, and ZCAB = LACD Prove: ABCD is a…

A: Explained below

Q: 7. Find the area of the quadrilateral if AB = 3, BD = 12, AC = 4, CD = 13, and AB is perpendicular…

A: 7) To find the area of quadrilateral ABCD Join the vertices B and C Triangle BAC and triangle CBD…

Q: Choose the correct answer below. O A. AABC - AHKG by the SAS - Theorem. O B. AABC - AHKG by the SSs…

Q: 25. Given: Quadrilateral PQST with midpoints A, B, C, and D of the sides Prove: ABCD is a O

Q: 16 Given: ANEW = ACAR, EN = 11, AR = 2x - 4y, NW = x + y, %3D CA = 4x + y, EW Draw the triangles and…

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE sement…

A: In given figure For ∆ADE &∆BEC 1) AD= BC ( opposite sides are parallelogram are equal and…

Q: 3. If a line through the vertex A of an equilateral triangle ABC meets BC in F and the circumcircle…

Q: . In quadrilateral ABCD, if ∠B=60°, ∠A=2∠B, and ∠A=∠C, prove that ABCD is a parallelogram.

Q: IN IN IN #1: AHEY is congruent to AMAN by What other parts of the triangles are congruent by CPCTC?…

Topic Video

Question

4. Given AM CM and BM DM
Prove ABCD is a parallelogram.
A
(Prove each opposite sides are congruent SAS)
B
M.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Quadrilaterals$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

Which of these two polyhedrons is concave? Note that the interior dihedral angle formed by the planes containing EJF and KJF is larger than 180 .
Does it follow from Exercise 30 that ADE is also congruent to CBE? What can you conclude regarding AE and CE in the drawing? What can you conclude regarding DEandBE?
In the three-dimensional figure, CAAB and BEAB. Are CAandBE parallel to each other? Compare with Exercise 6.
Given that mAB=106 and mDC=32, find: a m1 b m2
What type of trapezoid a has congruent diagonals. b has congruent base angles.
If the area of the 1200 sector is 40 cm2 and the area of MON is 16 cm2, what is the area of the segment bounded by MN- and MN?
a Is it really necessary to construct all three bisectors of the angles of a triangle to locate its incenter? b Is it really necessary to construct all three perpendicular bisectors of the sides of a triangle to locate its circumcenter?
a Are any two regular pentagons similar? b Are any two equiangular pentagons similar?
a What is the general name of the point of concurrence for the three perpendicular bisectors of the sides of a triangle? b What is the general name of the point of concurrence for the three medians of a triangle?
In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x._
Given: Regular pentagon ABCDE with diagonals BE and BD. Prove: BEBD HINT: First prove ABECBD.
With reference to 1, name each of the sides of the following triangles as opposite, adjacent, or hypotenuse. Name sides m, r, and t.